1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Natali [406]
3 years ago
14

Andrew is about to leave for school. If he walks at a speed of 50 meters per minute, he will arrive 3 minutes after the bell rin

gs. If he runs at a speed of 80 meters per minute, he will arrive 3 minutes before the bell rings. In how many minutes will the bell ring?
Mathematics
1 answer:
Mariana [72]3 years ago
7 0

Answer:

The answer is: 13 minutes

Step-by-step explanation:

First Let us form equations with the statements in the two scenario

time=\frac{distance}{speed}

Let the time in which the bell rings be 'x'

1. If Andrew walks (50 meters/minute), he arrives 3 minutes after the bell rings. Therefore the time of arrival at this speed = (3 + x) minutes

3 + x =\frac{distance}{50}\\distance = 50(3+x) - - - - - (1)

2. If Andrew runs (80 meters/minute), he arrives 3 minutes before the bell rings. Therefore the time taken to travel the distance = (x - 3) minutes

x - 3 = \frac{distance}{80} \\distance = 80(x-3)   - - - - - (2)

In both cases, the same distance is travelled, therefore, equation (1) = equation (2)

50(3+x)=80(x-3)

150 +50x=80x-240\\

Next, collecting like terms:

150 + 240 = 80x - 50x\\390 = 30x\\30x = 390\\

dividing both sides by 3:

x =  390÷30 = 13

∴ x = 13 minutes

You might be interested in
Nicole is running for school president. Her best friend designed a campaign poster, which measured 3 feet by 2 feet. Nicole like
melamori03 [73]

Answer:

The scale factor is 18 to 1 for the painting

Step-by-step explanation:

Here we want to get the scale factor of the original to what is reproduced

Let us have same units first

Mathematically;

1 foot = 12 inches

3 feet = 36 inches

2 feet = 24 inches

So 36 to 2 and 24 to 1 1/3

That will be ratio 36/2 = 18 to 1

same as 25 divided by 1 1/3 = 18 to 1

8 0
3 years ago
To be considered as a menu item for Gloria's new restaurant an item must have scored in the top 15% by the food critics in the a
vladimir1956 [14]

Answer:

Lowest score needed=4.92

Step-by-step explanation:

Using the standard normal distribution table we find the value of standard normal deviate corresponding to area of 15%

For area of 15% we have Z= -1.04

Thus we have

Z=\frac{X-\overline{X}}{\sigma }\\\\\therefore X=\sigma Z+\overline{X}\\\\

Applying values we get

X=-1.04\times 2+7\\\\X=4.92

Thus lowest score needed = 4.92

3 0
3 years ago
Kenji invests $3,500 at an interest rate of 3%, compounded monthly. How much is the investment worth at the end of 5 years?
Morgarella [4.7K]
3500(1 + .03/12)^12(5)
3500(1.0025)^60

The answer is:
$4,065.66 or $4,066

Hope this helps :)
4 0
3 years ago
Read 2 more answers
Y∝1√x<br> If <br> y=7 when x=64<br> find, <br> x when y=8
Taya2010 [7]

Answer:

uhm im really sorry about this but i really need points i would help but id get it wrong im bad aat math

Step-by-step explanation:

3 0
3 years ago
Find the median for the data set: 3,12,35,12,9,6,3,3,3,3,9,3
elena-s [515]
I’m pretty sure the answer is 6
4 0
3 years ago
Other questions:
  • Help me with number 6 and 4 please
    10·1 answer
  • What is two added to double a number in algebraic expression
    11·1 answer
  • Simplify (5 + 1)2 - (11 + 32) + 4.
    8·2 answers
  • Given f(x) = -x – 5, solve for a when f(x) = 4.
    9·1 answer
  • How to write 16,208.59 in word form
    12·1 answer
  • A train is traveling at a constant speed. The diagram represents the train's distance and time. What is the speed of the train?
    6·2 answers
  • ( please help I really need it )Joan represents the height at which a sea gull is flying at +4 feet and the depth at which a fis
    8·1 answer
  • What is the greatest common factor (GCF) of 15 and 6x?
    15·2 answers
  • Jon makes a map of his neighborhood for a presentation. The scale of his map is 1 inch:125 feet, however Jon realizes that his m
    11·1 answer
  • Please help me with this , it would mean alot​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!